An experiment consists of first rolling a die and then tossing a coin.
(a) List the sample space. {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(3, H), (3, T), (4, H), (4, T)}
(b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.)
P(A) =
(c) Suppose that a new experiment consists of first rolling a die and then tossing a coin twice. Let B be the event that the first and second coin tosses land on heads. Let C be the event that either a three or a four is rolled first, followed by landing a head on the first coin toss. Are the events B and C mutually exclusive? Explain your answer.
A. Events B and C are mutually exclusive because they have different probabilities.
B. Events B and C are mutually exclusive because the first and second coin tosses cannot land on heads when a three or four is rolled first.
C. Events B and C are not mutually exclusive because the first and second coin tosses can land on heads when a three or four is rolled first.
D. Events B and C are mutually exclusive because they are dependent events.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

I think letter C the die is consisting of 6 number 1,2,3,4,5,6 and the coin H,T. The probability of tossing a coin are only two while rolling a die has six probability that it will land either three or fou.r


Related Questions

Maggie stacked a box that was 83 centimeters (cm) tall on top of a box that was 128 centimeters. How tall was the stack of boxes in meters and centimeters?

Answers

Answer:

211 centimeter ; 2.11 meter

Step-by-step explanation:

Given that:

Height of box 1 = 128 cm

Height of box 2 = 83 cm

Stacking box 2 on the box 1 :

Height of stack :

Height of box 1 + height of box 2

128 cm + 83 cm = 211 cm

Converting 211 cm to meter :

100 cm = 1 m

211 cm = (211 / 100) m

= 2.11 meter

I need help
are all intergers a closed or open whoel number when subtracting or adding them together

Answers

Answer:

Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D

Step-by-step explanation:

PLEASE HELP AND BE FRFR

Answers

Answer:

the answer is 8 !!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the constant of proportionality of y=9x so what does k=

Answers

Its k = 34 if u move the constant

Jim and Joyce are saving for their annual vacation. They are going to Hawaii and their plane Tickets costs $2418 total. They have saved 1804 so far. If they are able to save $55 per week. how many weeks of saving will it take before they have saved at least S2418?​

Answers

Answer:

12 Weeks.

Step-by-step explanation:

2418 minus 1804 is 614.

614 divided by 55 is 11.1, and you can't have 11.1, so you round to 12.

So 12 is therefore your answer.

2418 - 1804 = 614

614/ 55 = 11.163....

They will need to save for 12 more weeks because if they save for 11, they will only have 2408

Hope this helps! Any questions let me know :)

The Burj Khalifa in Dubai is the tallest building in the world, at 2,717 feet. It is 217 feet taller than 5 times the height that the Dubai Fountain reaches. How high does the Dubai Fountain reach?

feet

Answers

The Burj Khalifa in Dubai is the tallest building in the world, at 2,717 feet. It is 217 feet taller than 5 times the height that the Dubai Fountain reaches. How high does the Dubai Fountain reach?

Answer:

The Dubai Fountain is 500ft tall.

Step-by-step explanation:

2,717 - 217 = 2500

2500/500 = 500ft.

Ex:

The Burj Khalifa in Dubai is the tallest building in the world, at 2,717 feet. It is 217 feet taller than 5 times the height that the Dubai Fountain reaches. How high does the Dubai Fountain reach?

Answer:

The Dubai Fountain is 500ft tall.

Step-by-step explanation:

2,717 - 217 = 2500

2500/500 = 500ft.

...


The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.
What is the volume of the pyramid in cubic centimeters?

Answers

Answer: 13500 cubic centimeters

Step-by-step explanation: lwh/3=volume

determine the domain and the range of this relation {(-3,4),(-2,4),(-1,-1),(3,-1

Answers

Answer:

Step-by-step explanation:

D:(-1,3)

R:(-1,4)

Find the indicated side of the triangle

Answers

Answer:

If you're trying to figure out what x would be, I'm pretty sure the answer is 6 because it's equal with the other side labeled 6 and there are 2 45° angles

Step-by-step explanation:

Sorry if this isn't the answer you're looking for :/

Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second

1

and third set of trees yielded 3 gallons each.

Part A: How many gallons of syrup did she collect in all?

Part B: After using some of the syrup she collected for cooking, Stephanie found that she only had a gallons of syrup left. How

much syrup did she use for cooking?

Answers

Answer:

Part A - 8

Part B - 7

Step-by-step explanation:

Part A

She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.

Part B

She used seven gallon of syrup for cooking.

She is left with one gallon syrup only out of total eight gallon syrup

What is the answer to this

Answers

Answer:

C

Step-by-step explanation:

Because I know

Napoleon went on a bus trip traveling at a speed of 55 miles per hour for 4 hours which equation will help you find the distance he traveled​

Answers

Answer:

220

Step-by-step explanation:

Easy!

Multiply 55 by 4!

2

55

x  4

--------

 220

five times 4 is 20, so put 0 then regroup the 2. Then, 5 times 4 again, but add two!

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the length of the rectangle.

Answers

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Farmer Joe Crazyhair has 12.4 acres of land. He uses 4.52 acres of land for growing fruits and 6.15 acres of land for growing vegetables. How many acres are not being used by Mr. Crazyhair? :)

Answers

1.73 acres are not being used by Mr. Crazyhair

The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.

Answers

Answer:

Percentage = 13%

Step-by-step explanation:

Given the following data;

Total population = 173,000

Number of students = 23,000

To find the percentage;

[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]

[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]

[tex] Percentage = \frac {23}{173} * 100 [/tex]

[tex] Percentage = 0.1330 * 100 [/tex]

Percentage = 13.3 ≈ 13%

Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.

A square is shown below. What is the perimeter of the square? A. 23 units B. 32 units C. 46 units D. 92 units

Answers

Answer:

32units

Step-by-step explanation:

Find the diagram of the square attached

Perimeter of a square = 4L

L is the side length of the square

Given

Assume the side length is 8units

L = 8units

Perimeter of the square = 4(8)

Perimeter of the square = 32units

Hence the perimeter of the square is 32units

Answer: D, 92.

Step-by-step explanation: I've done the lesson

please simplify- e⁵×e⁴​

Answers

Answer:

e3x

Step-by-step explanation:

Tate woks at an ice cream stand. Every customer can choose one of two toppings-sprinkles or chocolate chips.

He recorded the age group and the chosen topping for a sample of 120 customers. Here are the results:

Age group Sprinkles Chocolate chips Neither Total

Children

Adults

Total

27

13

40

38

22

60

7

13

20

72

48

120

Of the adults in the sample, what fraction ordered sprinkles?

Answers

Of the adults in the sample collected by Tate at the ice cream stand, the fraction that ordered sprinkles is 13/48.

What is the fraction of adults that ordered sprinkles?

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example is 1/2.

The fraction of adults that ordered sprinkles = number of adults that ordered sprinkles / total number of adults

= 13/48

To learn more about fractions, please check: https://brainly.com/question/25779356

#SPJ2

Answer:

16

Step-by-step explanation:

khan

calculate a²b+a³b/a²b²​

Answers

Step-by-step explanation:

a³+a²b+ab²+a³b+a²b²-a²b-ab²-b³-a²b²+ab³ = 2/3 ... plus 3Y is equal to 11 find the point where it presented by the equation cuts Y and X axis.

1 answer

What is the factored form of 27a^6+ 8g12?
• (302 +29^)(302-60g+294)
(302 +294)(904-6d9* +49)
(30* + 294)(90* +60+94 +499)
(30 129°)(3d - Bag + 20°)

Answers

Answer:

(3 a ^2 + 2 g^4  ) ( 9 a ^4 − 6 a ^2 g ^4 + 4 g ^8 )

 

Step-by-step explanation:

(3 a ² + 2 g⁴  ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ )  is the factored form of the expression 27a⁶+ 8g¹²

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 27a⁶+ 8g¹²

In the expression the variables are a and g

The operators used in the expression are plus.

We need to find the factored form of the given expression.

When the quadratic expression is a product of two factors where each one is a linear expression, this is called the factored form

(3 a ² + 2 g⁴  ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ )

Hence, (3 a ² + 2 g⁴  ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ )  is the factored form of the expression 27a⁶+ 8g¹²

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ7

pls help math!!!!!!!!!!!!

Answers

Answer:

A) 1000/1 = x/2500 is the answer

the correct answer to this should be “A”, or your first option! :)

A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 9 people. The government responds that it is too much of an inconvenience to have this busy road obstructed for three months, so the job must be completed in one month. If the relationship between construction time and crew members is inversely proportional, how many crew members does the construction team need if they are to complete the job in one month

Answers

Answer:

27

Step-by-step explanation:

9 crew members complete a job in 3 months

Number of crew members is inversely proportion to construction time :

Let :

Crew members = m

Construction time = t

m α 1 /t

m = k/t

m = 9 ; t = 3

9 = k /3

k = 27

If t = 1 (one month)

m =?

m = k/t

m = 27 / 1

Hence;

m = 27 * 1

m = 27 workers

The circle below is centered at the point (3, 1) and has a radius of length 2.
What is its equation?
10
A. (x-1)2 + (y - 3)2 = 4
B. (x + 1)2 + (y + 3)2 = 2
C. (x+3)2 + (x + 1)2 = 4
O D. (x-3)2 + (x - 1)2 = 2²

Answers

Answer:

D

Step-by-step explanation:

Just took the Quiz on A p e x

is -5 greater than -8 ​

Answers

Answer:

yes

Step-by-step explanation:

negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)

Answer:

Yes

Step-by-step explanation:

-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.

Which expression is equivalent to b ● 56?

Answers

Answer:

56b

Step-by-step explanation:

Which graph represents the function f(x)=5lnx?

Answers

Answer:

The first graph (top-left) is the correct graph.

Please, also check the attached graph.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=5\:lnx[/tex]

First, we should determine the x and y-intercepts.

Determining the y-intercept:

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

Thus,  

substitute x = 0 in the function

y = lnx

y = ln(0)

y = undefined

Therefore, at x = 0, the value of y becomes undefined.

Hence, None is the y-intercept.

Determining the x-intercept:

We know that the value of the x-intercept can be determined by setting y = 0 and determining the corresponding value of x.

Thus,  

substitute y = 0 in the function

0 = ln(x)

Flipe the equation

ln(x) = 0

Solve algorithm

ln(x) = 0

Take exponent of both sides

[tex]\:e^{ln\left(x\right)}=e^0[/tex]

[tex]x\:=e^0[/tex]

[tex]x = 1[/tex]

Thus, the point of x-intercept is: (0, 1)

Conclusion:

Now, if we carefully check the graph options, we can easily figure out that the first graph (top-left) correctly displays the x and y-intercepts.

It is clear from the graph that:

at x = 0, y is heading towards -ve infinity.

at y = 0, x = 1

Therefore, the first graph (top-left) is the correct graph.

Please, also check the attached graph.

What is the distance if each path in miles?

Answers

Path B is 3 1/2 miles Path B is 4 1/2 miles Path A is 3 3/4

What do you call segments, rays, or lines that are added to a given diagram?

Answers

Answer:

auxiliary lines

Step-by-step explanation:

The weights of 1000 onions from a certain farm follow a normal distribution with a mean of 150 g and a standard deviation 15 g from the data we can conclude that about blank onions way more than 165 g in about blank onions way less than 135 g

Answers

Answer:

About 159 weigh more than 165 g and about 159 g weigh less Than 135 g

Step-by-step explanation:

Given that :

Mean, μ = 150

Standard deviation, σ = 15

Using the Zscore formula :

Zscore = (x - μ) / σ

For x > 165

P(x > 165)

Z = (165 - 150) / 15

Z = 15 /15 = 1

P(Z > 1) = 0.15866 (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

For x < 135

P(x < 135)

Z = (135 - 150) / 15

Z = - 15 /15 = - 1

P(Z > - 1) = 0.15866 (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

Answer:

160 and 160

Step-by-step explanation:

each section is 16% of the whole.

Help ASAP PLEASE!!!

Answers

Answer:

3rd option

Step-by-step explanation:

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